Abstract
In previous chapters, we studied transport phenomena single-band models, and showed that the CVC induces various striking non-Fermi-liquid-like behaviors in the presence of AF fluctuations. For example, \(R_{\mathrm{{H}}}\) shows strong temperature dependence due to the CVC. In multiband systems, however, \(R_{\mathrm{{H}}}\) can exhibit temperature dependence or sign change within the RTA, if a hole-like Fermi surface and an electron-like Fermi surface coexist and their relaxation times have different \(T\)-dependences. There are many such examples even in conventional metals. However, \(|R_{\mathrm{{H}}}|\) is as small as \({\sim }\)1/ne in this multiband mechanism. Thus, the RTA + multiband mechanism is impossible to explain the huge \(|R_{\mathrm{{H}}}|\gg 1/ne\) observed in various systems near the AF QCP.
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Kontani, H. (2013). AHE and SHE in Multiorbital Systems. In: Transport Phenomena in Strongly Correlated Fermi Liquids. Springer Tracts in Modern Physics, vol 251. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-35365-9_11
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